Lectures related to Introduction to Torsion: Relative Stresses and Strains

Structural Mechanics: Beam Bending and Boundary Conditions

Explores the moment-curvature relation for beams, emphasizing stress distribution and typical boundary conditions.

Simple Shear: General Notions and Applications

Explores simple shear, shear stress, strain energy, stress analysis, and torsional shear stress in simple twist.

Generalized Hooke Law: Deformation and Stiffness Matrices

Explores the Generalized Hooke Law, stiffness matrices, and deformation effects in materials.

Linear Elasticity (3D)

Explores linear elasticity in 3D, stress-strain relationship, isotropic materials, and shear stress importance.

Stiffness vs Strength: Deformation and Load

Covers stiffness, strength, strain, stress, and strain measurement in structural mechanics.

Torsion: Part 2

Explores shear stress, relative deformations, shear modulus, and torsional shear stress in circular and thin-walled tubes.

Deformation and Strain Tensors

Explores deformation and strain tensors, Lagrange representation, elasticity theory, and the divergence theorem.

Introduction to Structural Mechanics: Stress and Strain

Covers stress equilibrium, strain, and constitutive equations in 2D and 3D.

Torsion: Deriving Hooke's Law and Solving Torsion Problems

Covers torsional loads, Hooke's law derivation, solving problems, and examples in hollow and composite shafts.

Shear Behavior: Evaluation and Laws

Explores material behavior in shear, shear forces, stress, equilibrium, shear laws, tension/compression, plane shear, shear rate, constrained slip, and shear strength.

3D Linear Elasticity & Beams

Covers 3D linear elasticity, stress, strain, beams' behavior under loads, and torsion.

Continuum Mechanics: Forces and Deformation

Covers the basics of continuum mechanics, including forces transmission, energy conservation, and body motion geometry.

Linear Elasticity in 3D: Beam Bending

Covers linear elasticity in 3D, focusing on beam bending and stress-strain behavior of materials.

Elasticity and Deformation

Covers stress, strain, modulus of elasticity, and material behavior under different loads.

Shear and Bearing Stresses

Explores shear and bearing stresses, including plasticity, creep, Hooke's Law, and allowable stresses in engineering design.

Relative Deformation in 3D: Strain Matrix

Explores relative deformation in 3D through strain matrix and displacement gradient, emphasizing constraints, stress-strain relations, and equilibrium equations.

Torsion of Axisymmetric Cross Sections

Covers the analysis of members under pure torsion and circular bars subjected to torsion, including shear stresses and angle of twist.

Stress and Strain Transformations

Explores stress and strain transformations, main stresses, safety factors, and failure criteria in structural mechanics.

Constraints and Deformations in 3D

Explores constraints and deformations in 3D, stress matrices, internal forces, and shear stresses.

Elastic Deformation: Material Properties

Explores material properties, stress, strain, and deformation gradient in elastic deformation.